Fixed order stabilizing controller design via reflection segments of polynomials

2011 ◽  
Author(s):  
Ulo Nurges ◽  
Sergei Avanessov
Keyword(s):  
Controller Design ◽  
Stabilizing Controller ◽  
Fixed Order

scholarly journals Fixed-Order Controller Design for Polytopic Systems Using LMIs

2008 ◽  
Vol 53 (1) ◽  
pp. 428-434 ◽  
Author(s):  
Hamid Khatibi ◽  
Alireza Karimi ◽  
Roland Longchamp
Keyword(s):  
Controller Design ◽  
Fixed Order ◽  
Polytopic Systems

Robust Stabilizing Controller Design for Inverted Pendulum System

2014 ◽  
Vol 71 (1) ◽  
Author(s):  
Hazem I. Ali
Keyword(s):  
Steady State ◽  
Time Domain ◽  
State Feedback ◽  
Inverted Pendulum ◽  
Controller Design ◽  
H Infinity ◽  
Pendulum System ◽  
Stabilizing Controller ◽  
Inverted Pendulum System ◽  
System Uncertainties

In this paper the design of robust stabilizing state feedback controller for inverted pendulum system is presented. The Ant Colony Optimization (ACO) method is used to tune the state feedback gains subject to different proposed cost functions comprise of H-infinity constraints and time domain specifications. The steady state and dynamic characteristics of the proposed controller are investigated by simulations and experiments. The results show the effectiveness of the proposed controller which offers a satisfactory robustness and a desirable time response specifications. Finally, the robustness of the controller is tested in the presence of system uncertainties and disturbance.

Global optimization in stabilizing controller design

2006 ◽  
Vol 38 (4) ◽  
pp. 509-526 ◽  
Author(s):  
YoungJung Chang ◽  
Nikolaos V. Sahinidis
Keyword(s):  
Global Optimization ◽  
Controller Design ◽  
Stabilizing Controller

Fixed-order ℋ∞ controller design for MIMO systems via polynomial approach

2018 ◽  
Vol 41 (7) ◽  
pp. 1985-1992 ◽  
Author(s):  
Bilal Erol ◽  
Akın Delibaşı
Keyword(s):  
Traditional Method ◽  
Controller Design ◽  
Mimo Systems ◽  
Linear Matrix ◽  
Main Difficulty ◽  
Matrix Inequalities ◽  
Central Polynomial ◽  
Fixed Order ◽  
Inner Approximation ◽  
Associated Solution

This paper presents a fixed-order [Formula: see text]∞ controller design based on linear matrix inequalities for multi-input–multi-output systems. The main difficulty in the development of a fixed-order controller design is that the associated solution set of the problem is defined in a non-convex cluster, and that makes the problem computationally intractable. The convex inner approximation is used to deal with this non-convexity. The proposed controller design approach is applied to some elegant numerical problems taken from various previous works. To show the effectiveness of the proposed method, the full-order [Formula: see text]∞ controller and fixed-order controllers are constructed for these models using the traditional method and popular toolboxes, respectively. Furthermore, in this paper, some strategies for choosing the central polynomial, which is the main conservatism of the proposed method, are discussed.

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